The time for one cycle of a periodic pruxebf 6l 2 bj3u356quuocess is called the

  For a periodic process, the number of cycles p*sx5m x/r agohk 8+jp6nd9u 9qn,y9aj er unit time is called the

  For vibrational motion, the maximum displacement from mzni q(tlvvem 9.l/-3 the equilibrium point is call9eq v/l( m nvmtiz3-l.ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displaehm(.eh 5 o7*c3 jbxqwcement from equilibrium, its insxwco 7ej53mh q*he(.btantaneous velocity

  A mass on a spring undergoes SHM. When8 +luhi p8)mhteeu 8l9 the mass passes through the equilibrium position,h+8l 8pt e9eluu) 8mih its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maxib-p6g7sh7 ej emum displacement from equiep7jhg s-76belibrium, its instantaneous acceleration

  A mass is attached to a vertical spring andx-b lez6v:8s 0 2lnqde bobs up and down between points A and B. Where is the mass located when its x0nv2e- lbez68lsd q:kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between p+x7 m,vhw )uopoints A and Bmo)p7,h+x uvw . Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical i nvug1,y)ddx tl(v8:spring and bobs up and down between points A and B. Where is the mass located when its potentia8i, lv:tgd1 x)y uvdn(l energy is a minimum?

  A mass is attached to a vertibjzwme:j9k5.a2 df+lg 0tm y hu+ 86zrcal spring and bobs up and down between points A and B. Where is the mass located when its potential energyl6b +ug5 j2zz.mm0k aeyf+8r9t :djwh is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produc 0c/lwp kkqg*y:6l-zzes what ckz 6k:0lzy-*wlq /gp effect on the system's mechanical energy?

  Doubling only the mas:o x;29 4* qj cm6iauq5.arh4fczlowz s of a vibrating mass-and-spring system produces what effect on the systemuw 9c rjz2q4a;4i.:oh *aoz xlfqm6c5's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systemp h9cpo(vy5w6yicq8( produces what effect op5oq(8(chy9vwp6c yin the system's mechanical energy?

  A mass oscillates on the end of a sprcv1*wz ,v s5fngi)s)ling, both on Earth and on the Moon. Where is n*zvs,c f1v )wslig5) the period the greatest?

  Increasing the spring constant k of a mass-and-spring system ca *kp/-vpk v-mh3 ozg:((u aaatuses what kind of change in the resonant frequency of the systemp-/akg:kavtvu z p(m a-o(h3*? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in/l;fg2axyg8 zbg6i;y oyc n 3ns9lk-9 the resonant frequency of the system? (Assume no change in thegfg98bon -; z2ky 3 ig6s /c;ay9lyxln system's spring constant k.)

  Increasing the amplitude o, n+h7b9f ;mlr 2noe+op 3kr ub/:lkupf a mass-and-spring system causes what kind of change in the resonanrme,l kb +9uro+u3okl;fn72b npp :/h t frequency of the system? (Assume no other changes in the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M attached to a weightless str7mgs0kj2kajks 265yq8u 1x eping of length L. k5gs jau0 jk22y7se1 mqkpx 68For this system, when undergoing small oscillations

  When the mass of a simple pezpb:en * fpksze0 *ny8.)pog-ndulum is tripled, the time required for one complete vibration.pgoe0bp)znsz:8*yk pf*n - e

  Both pendulum A and B are 3.0 m lon-,-8 rgskodqcrn.z1 oc7 xaplw8r w40g. The period of A is T. Pendulum A is twice as heavy as pendulum B. ok8q-c8r4d. w c1gszorr 7n, xw-a0pl What is the period of B?

  When the length of a simple pendulum is tripled, the time for one compib +md7 ecyp0ot08ei +lete vibration increases by a factor ofdmcyitp 0eb+o+e 8 07i

  What happens to a simple pendulum's frequency if bothpp bq-x7fm2 2qiou1-la sa6c 1 its length and mass are increased?x acbosq12im-pq26u a7-l p 1f

  Simple pendulum A swings back and forth at twcl 5sb3.njek yx-.d3 gb(u 2ktice the frequency of simple pendulum5(k-txg u s32dlje .b.3c nykb B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of grawz5*(kw1.ekn (qqdwg vity is less than on Eartw(d( qw5e nwzqg kk.*1h, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reg3+m wmye.3m7*ohkj 5l1wn lxpresents

  Curve B in Fig. 11-1 representdbfo5u tx;is*hu:;8i h9zrurc330 sas

  Curve C in Fig. 11-1 represenvi0.n9(sxo rw ts

  For a forced vibrationux14gr7a9 lh z, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibqs .i4+ibiqr( rium is called the wave'rbii(4isq. q+s

  The distance between successive crests on a wave nd9 ipljk*/-fhc- cz4is called the wave's

  The number of crests of a wave passing a point per70dza 5 13aeb/oea pbe unit time is called the wave'150ae pa/d3z bboeae7 s

  For a wave, the frequency times th i nqh9 o-76*eryhe8kte wavelength is the wave's

  The frequency of a wave increases. What happens roml+g;o6rkor6*r r-to the distance between successive crests if the speed remains coor-rgko*rol 6+6;r rm nstant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thb-;98gm t.;ts -)ukd tzrjszge same string has w; u.;8bjgdzrm g -zs)k-9 stttavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A stayomlt, l:xne sjw6u4q;93ysa9x 62lc nding wave is set u mxj:l ; ecuo lty2s63sny6wq9l49 xa,p. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wdp-i:r/g8l.0; vl ms ii;sxgbtyc b()ave in the string is v. What will be the speed of a wave in the string if the mlti;vm/ ypgl0).cd i sis(rbg8-: xb ;ass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in thetlau c+p+ (e9bd(- cjh string is v. What will be the speed of a wave in the string ifbd( jl+-u a(hp9t+c ce the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave inq,ukjd zx,eg+1no8n: the string is v. What will be the speed of a wave in the string if the tensi,oqz en:+18,u n xdjgkon is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wavjef0tn*w,g2m 5sqb )j e travels through the Eaf 2t q*j)bn5wesm g0j,rth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitud 28nq*e rzdpcoh 6;.wyvx7mw3inal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particler7wzdq ocvyn862.pmh; x*w 3es is

  The intensity of a wc,7 tmt tylphd +7r(-qave is

  A wave pulse traveling to the right along a thsq9 fdo0* 1iplin cord reaches a discontinuity where the rope becomes thicker and heavier. Whatqd9i0s*p o fl1 is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, onegln.iw+e q .tz:r n+j7 is traveling toward the right and the othej+7eznwq gi:tl. n+r. r toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other o0;x8- z nh0ny+z jnvdun a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negatidzy+0 xjuhn z8 -0;nvnve direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at bot):ab dkqyleaye*pg.5xe1 7q 0h ends, occurs when

  If one doubles the tension in a violin stri dfw lr74mp:v7ng, the fundamental frequency of that string will mf47wvl:r7 pdincrease by a factor of

  What is the spring constantjggjlaya+wt;/vg3 )u))u:u y pa x61 t of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fromg/ja+py wy u6)t )g)a ujax1tv :lu3;g it?

  A mass is attached to a spring of sub+o ui,mg rn54k) .wmkbtk 18pring constant 60 N/m along a horizontal, frictionless surface. The spring is inib+krkg)mm 1.5, u8b 4kut ownitially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring conse v7t (qr,mlf:tant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position fv7e, mlt(q: rwhen it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m alo;7(wcfcov4c ;.syvd y ng a horizontal, frictionless surfac7vvof 4;cc;c (ydw .yse. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillksqm ldc9.(4-v5 v/ a maz.hom* bsr8uations in 5.0 s. What is the per 5v ks(8sb-mlachq*a/zvm4u od.9rm.iod?

  A mass vibrates back and forth from the free end of an id wcp8 eebmir -t0w6o1)eal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrat bwi) e1e 0p86trmwc-oing mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consj0f : 7cnsp7zgtant 20 N/m along a horizontal, frictionless surface. The gz7nj s :c7p0fobject oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude ofkf/p8kjz(mr,;ie; ;ape ;tn/r +ekl k 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What em,k8;;rtl kn( aip/kk/jp; ;rfz+ ee is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N0urzc2 b742pcubo0 oo/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the ampcoo2bucu2 o40 7zpr0blitude of vibration?

  A 0.50-kg mass is attach+*x b;a3 wx*pz,t)uktjfida19qniag e+1 7 nwed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has7faba*+uiwx*1kz it ;gjnx3w+eq ,t)9a1 dnp a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring 9k2l*dq g g7lxconstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mecha*gqlk 9l2xdg7nical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cn: n,de7z, )dbz)fhueonstant 50 N/m and set into simple harmonic motion )bzeudnenz,),7f :hdwith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ipm :d,)(m6kvj+w n efml2z.qxdeal spring of spring constant 20.0 N/m with an amplitud,mv(me+f m x)lk2z. pj:dw6qne of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and g 2addru j1hrq(x69gbp;yh58-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What fr12ph(ur5r;g adxg6jy qbhd8 9equency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a kjqoek(z,. (g spring of spring constant 10 N/m. The object is displaced q j(.okk,z eg(by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of spring cons* sz esc6-q,kftant 10 N/m. The object is dis,sf s*q ke6cz-placed by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a sprie d;l,q0/vq2otvt9 l 0 )ti; lmpdf7mvng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibr /9lpil270d)mtmvdfvq t l;,e 0o;tvqation?

  A mass is attached to a spring. It oscillatesh*mepm5syz l v294b +o at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilm45 *vspy92 ohlzeb m+ibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to differentczjw(2 h(i7fm springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of wjzm(cf2i (h 710 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium te 18o byjln) wn(,fkx0he mass stretches the spring 2.0 cm downward. The mass is then pulled an additional di )wy 18f0l(bn ,okxnejstance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the yj*:+au nq k(xeg5p u1spring 2.0 cm downward. 1x*q:p+kgun(u aj 5yeThe mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspende5knm)zi sf0q dt3ph ktr0( i*sa* xn-,d on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 r*3-s(qi0a) 0* titsfp 5,h n zmkdkxncm down and released from rest. Write down its equation of motion.

  An object in simple harmonic moti* ocgb06 zle2hrgit 6/on obeys the following position versus time equation:0t6g* 2ehlzi6/ocbrg
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obe)-xha m9lr g12c ia;kyys the following position versus time equ gmliaa9)cyx 1h2k -r;ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motione3u ub7/i;z1pya f1wh obeys the following position versus time equat1 ;uz17u3biw/hya pfeion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the flzph3w a1/i37 bdbm4rree end of a spring executes simple harmonic motion according to theb/m437whr1abp dz l i3 equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with75zq(qeiw*nhie y(g *x/ o 0cy a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the massh0* ii qxy(wnzg7ey5q o*c/(e is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swings in 8.0 s. (a) What are its fru*xxr+2 n rvw.equency and period on n+wrv xu2 x.r*Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period o 8kjtws97nmeb/ z+a9n 88tzr wn Earth?

  A pendulum has a period of 2.0 s on bp 4egy6l o4g7Earth. What is its length?

  The pendulum of a gravyo,)f i6q-a5jmd xv wq2sips;b8-7y:en/cr ndfather clock is 1.0 m long. What is its period on the Ear7mwiof-n rqyy, 6)v/i: s-2p8cjesxav5;dbq th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on b4p2z )zfeg7 cthe Moon where tbe2 )gpcf4z7z he acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-slnwf(m t:d0kfh0xq68r sd ;/kg spherical mass attached to a massless string. When the mass is wsf(tqk;0xldd n fsrh6:80/m displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass : 4n*ojd iqn hw(,lfizyoz jf5*h 4d:6has initial angular displacement of 8.0e. It oscillates wih4o( dzfw:fi ,j6dlhq:n o y i*j4nz5*th a period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at aqs +g3d71c waj given time. The frequency of the wavgwc sqa17+d3j e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freqs bb;4y.be2sv uency of the wave is 120 Hz. What is the wavy bb; v.sse24belength?

  Figure 11-2 is a "snapshot" of a wa 6prhgi+ai55pve at a given time. The frequency of the wave ipghaii5 6+5p rs 120 Hz. What is the wave speed?

  What is the frequency of a waetgy.1gx7rv fgq ;/ :7gttkd )ve which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 19u-c** sjozgis .bix*500 Hz?

  What is the wave speed + vyu hg y(hnly(g(n:-if a wave has a frequency of 12 Hz and a wavelength of 3.0 nlh-+u(v:ygnh g(y y(m?

  What is the velocity of a wave that has a wavelength of 3.0 m par)0 ucc9d( sand a frequency of 1c90su)(dr c pa2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 mf eo:6qy8nor8 /s?

  A piano string of linear mass density 0.q/xe mh/3qe*qp9hq 7w0050 kg/m is under a tension of 1350 N. What is the wave speed?7hme*qhxq9// q qp we3

  A string of linear density 6.0 g/m is under a tension of 180 N. What iscb9+tc (:,m mtzv3*4j xwmcdv y3tvy* the velocity of propagation of transverse waves along the stri3 wdb : ,t*9vxy*(tmm mc3cvtv4cj+ zyng?

A wave whose wavelength is 0.500 m is traveling *siqzw,av397j j l b3kdown a 500 m long wire whose total masb7ajs * 93,i jq3lzwkvs is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wave on ha w 4udo9-oaipp8j1jpt +ah - mf gpo,1g*5p1a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequj ,a-u -ppp9oag pa1dhpo*ih54ot1 m8jg1+ fw ency of this string?

  If a guitar string has a fundamental f 6v/ w a8 civ.g8ri93xlxk8noqrequency of 500 Hz, which one of the following frequencies can set the stva9i l6.xixqng8 3/wcrkvo 88ring into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavejdx28w5 jwxj5sj1m. q driven at a frequency of 480 Hz. What driving frequencyq5.8w xjs dw 52jjjxm1 will set up a standing wave with five equal segments?

  A string, fixed at both i .2o2d-cs efuends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loopudo-e i c2f2s.s. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is underzk8lg -t*d 3jp 6h3f p*f.znqc a tension of 20 N. What should its length be ifnk 3dl.tq*j h zc8p*zp-ff3 g6 its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and5pzvgk :59jz1i7xmppelxj4w2 2x v i , lengkjl7v5mz15 22ie zwg,ixv p4pj x9xp :th 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When ys9;o jgfe+c:ea5 v)k)e :::sk)rlfmwb dn +ethe string vibrates at a frequency of 85 Hz, a standing wave with+a eerdw:y:b cevk:5l:9 fs)j gf+mnk)s);e o five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.